The \(Y(4260)\)  state turns out to be a mysterious state from the very beginning. It was first reported by
the BaBar Collaboration in the initial state radiation \(e^+e^-\rightarrow \gamma _\text{ISR} J/\psi \pi ^+\pi ^-\)  [1]},
and then confirmed by CLEO-c [2]} and Belle [3]} experiments in the same channel.
However, its presence in open charm decay channels is not obvious at all, which has provoked a
lot of theoretical interpretations in the literature. Comprehensive reviews can be found in several
recent review articles [4]}, [5]}, [6]}, [7]}, [8]}.
Recently, following the discovery of charged charmonium-like state \(Z_c(3900)\)  in \(e^+e^-\rightarrow J/\psi \pi \pi \) 
at the c.m. energy of 4.26 GeV [9]}, the BESIII Collaboration observed more detailed
structures around the \(Y(4260)\)  in several exclusive decay channels, namely, \(J/\psi \pi \pi \)  [10]},
\(h_c\pi \pi \)  [11]}, \(\omega \chi _{c0}\)  [12]}, [13]},
and \(D^0D^{*-}\pi ^++c.c.\)  [14]}. In particular, in Ref. [14]} by treating
these two structures around 4.23 and 4.29 GeV as from two Breit-Wigner states, a narrow resonance \(Y(4230)\) 
and a relatively broad resonance \(Y(4260)\)  are extracted.
